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Finding the Third Proportional to 1,002.38 and 2,305.13

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Solution

The third proportional to 1,002.38 and 2,305.13 is: 5,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.38 : 2,305.13 = 2,305.13 : x
  2. Step 2: Convert to fraction form
    1,002.38/2,305.13 = 2,305.13/x
  3. Step 3: Cross multiply
    1,002.38x = 2,305.13 × 2,305.13
  4. Step 4: Simplify right side
    1,002.38x = 5,313,601.27
  5. Step 5: Solve for x
    x = 5,313,601.27/1,002.38
  6. Step 6: Final answer
    x = 5,301.01

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.